Solve x^6 + 1 - ScanMath

Evaluate

x^{6} + 1

To find the roots of the expression,set the expression equal to 0

x^{6} + 1 = 0

Move the constant to the right-hand side and change its sign

x^{6} = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

x^{6} = - 1

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 - 1

Simplify the expression

More Steps

x = \pm (\frac{3}{2} + \frac{1}{2} i)

Separate the equation into 2 possible cases

x = \frac{3}{2} + \frac{1}{2} i x = - \frac{3}{2} - \frac{1}{2} i

Solution

x_{1} = - \frac{3}{2} - \frac{1}{2} i, x_{2} = \frac{3}{2} + \frac{1}{2} i

Alternative Form

x_{1} \approx - 0.866025 - 0.5 i, x_{2} \approx 0.866025 + 0.5 i

Factor the expression